Question

Find the value of $x$ in the following diagram:

Answer 1

Given $\angle BOC={65}^o;$

$\therefore \angle ELC={65}^o$ .... (Alternate interior angle)

$\angle ELC=\angle DLF={65}^o$ ...... (Alternate angles)

$\angle y={180}^o-x={115}^o$ ...... [straight angle]